Answer:
- Determine the null and alternative hypotheses.
- Select a level of significance.
- Draw a random sample, and calculate the sample statistic.
- Decide whether to reject or fail to reject the null hypothesis.
Step-by-step explanation:
The steps that involve testing a hypothesis can be sorted like this:
First, we have to determine the null and alternative hypothesis. This is related directly to the claim we are trying to prove.
Second, we select a level of significance. This depends on how conservative we want to be with the conclusions. We have to do it before evaluating the test statistic, although it is not involved in its calculations.
Third, we draw a random sample, and calculate the sample statistic. This is the core of the hypothesis test, were we use the information of a sample to infer a characteristic of the population.
Fourth and last, with the results of the test statistic, we decide whether to reject or fail to reject the null hypothesis. This leads to the conclusions about the claims.
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Answer:
a=-3
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Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint

So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely

We will break the middle term and find factors

So, the factors are (x+4)(x+2)
Option A is correct.